NLO QCD corrections forJ/ψ+c+c¯production in photon-photon collision

Abstract

The $\ensuremath{\gamma}+\ensuremath{\gamma}\ensuremath{\rightarrow}J/\ensuremath{\psi}+c+\overline{c}$ inclusive process is an extremely important subprocess in $J/\ensuremath{\psi}$ production via photon-photon scattering, like at LEPII or various types of future electron-positron colliders. In this work we perform the next-to-leading order (NLO) QCD corrections to this process in the framework of nonrelativistic QCD (NRQCD) factorization formalism, the first NLO calculation for two projectiles to the 3-body quarkonium inclusive production process. By setting the center-of-mass energy at LEPII, the $\sqrt{s}=197\text{ }\text{ }\mathrm{GeV}$, we conduct analyses of the ${p}_{t}^{2}$ distribution and total cross section of this process at the NLO accuracy. It turns out that the total cross section is moderately enhanced by the NLO correction with a $K$ factor of about 1.46, and hence the predicted $J/\ensuremath{\psi}$ inclusive productivity is increased while the DELPHI data still overshoot the theoretical prediction. At the future Circular Electron-Positron Collider, the NLO corrections are found to be more significant, with a $K$ factor of about 1.76.